Greatest Common Factor of 68/470, 156/260, 259/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/470, 156/260, 259/865

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 68/470,156/260,259/865

Given fractions are 68/470,156/260,259/865

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 68,156,259

Greatest Common Factor of Numerators i.e. GCF of 68,156,259 is 1 .

LCM of Denominators means LCM of 470,260,865 as per the given fractions.

LCM of 470,260,865 is 2114060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,156,259

GCF of Fractions 68/470,156/260,259/865 is 1/2114060

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 68,156,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,156,259 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 68,156,259 . The biggest common factor number is the GCF number.
So the greatest common factor 68,156,259 is 1.

Lets's calculate LCM of 470,260,865

2 470, 260, 865
5 235, 130, 865
47, 26, 173

∴ So the LCM of the given numbers is 2 x 5 x 47 x 26 x 173 = 2114060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2114060

Therefore, the GCF of Fractions 68/470,156/260,259/865 is 1/2114060

Least Common Multiple of 470,260,865 with GCF Formula

Least Common Multiple of 470,260,865 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 470,260,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,260,865) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(470,260,865) x common factors =5 x 10 = 50

LCM(470,260,865) = ( 470 × 260 × 865 ) / 50

LCM(470,260,865) = 105703000 / 50

LCM(470,260,865) = 2114060


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 68/470, 156/260, 259/865

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 68/470, 156/260, 259/865?

Answer: GCF of Numerators as per given numbers 68/470, 156/260, 259/865 is

GCF of Numerators i.e. for 68,156,259 is 1

LCM of denominators i.e. for 470,260,865 is 2114060.

Thus, GCF of Fractions is 1/2114060.Finally, GCF of Fractions for 68/470, 156/260, 259/865 is 1/2114060.